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70929331200 = 210325271317199
BaseRepresentation
bin100001000001110110…
…1111011010000000000
320210002012001100121200
41002003231323100000
52130230402044300
652330125421200
75060460240030
oct1020355732000
9223065040550
1070929331200
1128098838392
12118b610a800
1368c4b40780
14360c2098c0
151ca1ed3200
hex1083b7b400

70929331200 has 1584 divisors, whose sum is σ = 332616211200. Its totient is φ = 14014218240.

The previous prime is 70929331199. The next prime is 70929331201. The reversal of 70929331200 is 213392907.

It is an interprime number because it is at equal distance from previous prime (70929331199) and next prime (70929331201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70929331201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 356428701 + ... + 356428899.

Almost surely, 270929331200 is an apocalyptic number.

70929331200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70929331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166308105600).

70929331200 is an abundant number, since it is smaller than the sum of its proper divisors (261686880000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70929331200 is a wasteful number, since it uses less digits than its factorization.

70929331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 70929331200 in words is "seventy billion, nine hundred twenty-nine million, three hundred thirty-one thousand, two hundred".